Algebraic uniqueness of Kähler-Ricci flow limits and optimal degenerations of Fano varieties

Jiyuan Han, Chi Li

We prove that for any $\mathbb{Q}$-Fano variety $X$, the special $\mathbb{R}$-test configuration that minimizes the $H$-functional is unique and has a K-semistable $\mathbb{Q}$-Fan…